85677874157568 has 576 divisors, whose sum is σ = 292795776000000. Its totient is φ = 22253927055360.

The previous prime is 85677874157537. The next prime is 85677874157597. The reversal of 85677874157568 is 86575147877658.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254826433 + ... + 255162431.

It is an arithmetic number, because the mean of its divisors is an integer number (508326000000).

Almost surely, 2^{85677874157568} is an apocalyptic number.

85677874157568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85677874157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888000000).

85677874157568 is an abundant number, since it is smaller than the sum of its proper divisors (207117901842432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85677874157568 is a wasteful number, since it uses less digits than its factorization.

85677874157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336067 (or 336022 counting only the distinct ones).

The product of its digits is 22127616000, while the sum is 84.

The spelling of 85677874157568 in words is "eighty-five trillion, six hundred seventy-seven billion, eight hundred seventy-four million, one hundred fifty-seven thousand, five hundred sixty-eight".